What is the lowest value of n that allows g orbitals to exist?

Question 24 of 62beginner🧠 RememberVery Short1 mark

Correct Answer

The lowest value of $n$ that allows g orbitals to exist is 5.

Exercise: EXERCISES | Q: 2.24 | (Page 41)

For More Understanding

Explanation

From the provided chart, the g subshell corresponds to an azimuthal quantum number $l = 4$ . The context states that the value of $l$ cannot be greater than $n-1$ . Therefore, for $l = 4$ , $n-1$ must be at least 4, which means the minimum value of $n$ is 5.

Solution Steps

Step 1: Identify the value of $l$ for the g subshell. From the chart, $l = 4$ .
Step 2: Use the rule that the value of $l$ cannot be greater than $n-1$ , so $l \le n-1$ .
Step 3: Substitute $l = 4$ to get $4 \le n-1$ , which gives $n \ge 5$ . Thus, the lowest value of $n$ is 5.

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